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5224601000 = 235319833313
BaseRepresentation
bin1001101110110100…
…10001010110101000
3111111010000020012202
410313122101112220
541144444213000
62222233155332
7243320242613
oct46732212650
914433006182
105224601000
112241173073
12101985bb48
1365354a5a8
14377c4917a
15208a1edd5
hex1376915a8

5224601000 has 128 divisors (see below), whose sum is σ = 13027996800. Its totient is φ = 1955404800.

The previous prime is 5224600999. The next prime is 5224601003. The reversal of 5224601000 is 1064225.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5224601003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1575344 + ... + 1578656.

It is an arithmetic number, because the mean of its divisors is an integer number (101781225).

Almost surely, 25224601000 is an apocalyptic number.

5224601000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5224601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513998400).

5224601000 is an abundant number, since it is smaller than the sum of its proper divisors (7803395800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5224601000 is a wasteful number, since it uses less digits than its factorization.

5224601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5224601000 is about 72281.4014806022. The cubic root of 5224601000 is about 1735.2060094170.

Adding to 5224601000 its reverse (1064225), we get a palindrome (5225665225).

The spelling of 5224601000 in words is "five billion, two hundred twenty-four million, six hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 83 95 100 125 152 166 190 200 250 332 380 415 475 500 664 760 830 950 1000 1577 1660 1900 2075 2375 3154 3313 3320 3800 4150 4750 6308 6626 7885 8300 9500 10375 12616 13252 15770 16565 16600 19000 20750 26504 31540 33130 39425 41500 62947 63080 66260 78850 82825 83000 125894 132520 157700 165650 197125 251788 274979 314735 315400 331300 394250 414125 503576 549958 629470 662600 788500 828250 1099916 1258940 1374895 1573675 1577000 1656500 2199832 2517880 2749790 3147350 3313000 5224601 5499580 6294700 6874475 7868375 10449202 10999160 12589400 13748950 15736750 20898404 26123005 27497900 31473500 34372375 41796808 52246010 54995800 62947000 68744750 104492020 130615025 137489500 208984040 261230050 274979000 522460100 653075125 1044920200 1306150250 2612300500 5224601000